51588264001 has 2 divisors, whose sum is σ = 51588264002. Its totient is φ = 51588264000.

The previous prime is 51588263941. The next prime is 51588264037. The reversal of 51588264001 is 10046288515.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51510841600 + 77422401 = 226960^2 + 8799^2 .

It is a cyclic number.

It is not a de Polignac number, because 51588264001 - 2⁷ = 51588263873 is a prime.

It is a super-2 number, since 2×51588264001² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51588264071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25794132000 + 25794132001.

It is an arithmetic number, because the mean of its divisors is an integer number (25794132001).

Almost surely, 2^51588264001 is an apocalyptic number.

It is an amenable number.

51588264001 is a deficient number, since it is larger than the sum of its proper divisors (1).

51588264001 is an equidigital number, since it uses as much as digits as its factorization.

51588264001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 51588264001 in words is "fifty-one billion, five hundred eighty-eight million, two hundred sixty-four thousand, one".